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Finding the Third Proportional to 236,616.75 and 344,125.13

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Solution

The third proportional to 236,616.75 and 344,125.13 is: 500,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,616.75 : 344,125.13 = 344,125.13 : x
  2. Step 2: Convert to fraction form
    236,616.75/344,125.13 = 344,125.13/x
  3. Step 3: Cross multiply
    236,616.75x = 344,125.13 × 344,125.13
  4. Step 4: Simplify right side
    236,616.75x = 118,422,101,656.27
  5. Step 5: Solve for x
    x = 118,422,101,656.27/236,616.75
  6. Step 6: Final answer
    x = 500,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.